Properties

Label 2535k
Number of curves $1$
Conductor $2535$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 2535k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2535.d1 2535k1 \([0, 1, 1, -11210, -721444]\) \(-32278933504/27421875\) \(-132360153046875\) \([]\) \(14112\) \(1.4073\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2535k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2535k do not have complex multiplication.

Modular form 2535.2.a.k

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + q^{3} + 2 q^{4} + q^{5} - 2 q^{6} + q^{7} + q^{9} - 2 q^{10} - 5 q^{11} + 2 q^{12} - 2 q^{14} + q^{15} - 4 q^{16} - 7 q^{17} - 2 q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display